Question

Shown here is the graph of which inequality? PLEASE HELPPP!

Answer 1

The answer to this one will be C
Hope this helps :)

Answer 2

Answer:

The required inequality is $\frac{y}{7}\leq \frac{x}{3}+2$.

Step-by-step explanation:

From the given graph it is clear that the related line passing throguh the points (-6,0) and (0,14).

If a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of related line is

$y-0=\frac{14-0}{0+6}(x+6)$

$y=\frac{14}{6}(x+6)$

$y=\frac{7}{3}(x+6)$

Divide both sides by 7.

$\frac{1}{7}y=\frac{1}{3}(x+6)$

$\frac{y}{7}=\frac{x}{3}+2$

The equation of related line is $\frac{y}{7}=\frac{x}{3}+2$.

The relates line is solid line and the shaded region is below the line therefore the sides of inequality is ≤.

Therefore the required inequality is $\frac{y}{7}\leq \frac{x}{3}+2$.